.22(x+6)=0.2x+1.6

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Solution for .22(x+6)=0.2x+1.6 equation:


Simplifying
0.22(x + 6) = 0.2x + 1.6

Reorder the terms:
0.22(6 + x) = 0.2x + 1.6
(6 * 0.22 + x * 0.22) = 0.2x + 1.6
(1.32 + 0.22x) = 0.2x + 1.6

Reorder the terms:
1.32 + 0.22x = 1.6 + 0.2x

Solving
1.32 + 0.22x = 1.6 + 0.2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.2x' to each side of the equation.
1.32 + 0.22x + -0.2x = 1.6 + 0.2x + -0.2x

Combine like terms: 0.22x + -0.2x = 0.02x
1.32 + 0.02x = 1.6 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
1.32 + 0.02x = 1.6 + 0.0
1.32 + 0.02x = 1.6

Add '-1.32' to each side of the equation.
1.32 + -1.32 + 0.02x = 1.6 + -1.32

Combine like terms: 1.32 + -1.32 = 0.00
0.00 + 0.02x = 1.6 + -1.32
0.02x = 1.6 + -1.32

Combine like terms: 1.6 + -1.32 = 0.28
0.02x = 0.28

Divide each side by '0.02'.
x = 14

Simplifying
x = 14

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